Zobrazeno 1 - 10
of 7 801
pro vyhledávání: '"SYMPLECTIC groups"'
Autor:
Sierra, Ismael, Wahl, Nathalie
We use algebraic arc complexes to prove a homological stability result for symplectic groups with slope 2/3 for rings with finite unitary stable rank. Symplectic groups are here interpreted as the automorphism groups of formed spaces with boundary, w
Externí odkaz:
http://arxiv.org/abs/2411.07895
We construct new irreducible components in the discrete automorphic spectrum of symplectic groups. The construction lifts a cuspidal automorphic representation of $\mathrm{GL}_{2n}$ with a linear period to an irreducible component of the residual spe
Externí odkaz:
http://arxiv.org/abs/2410.10635
A digraph is $s$-arc-transitive if its automorphism group is transitive on directed paths with $s$ edges, that is, on $s$-arcs. Although infinite families of finite $s$-arc transitive digraphs of arbitrary valency were constructed by the third author
Externí odkaz:
http://arxiv.org/abs/2408.12074
Autor:
Jo, Yeongseong
In this article, we would like to formulate a relation between the square norm of Whittaker--Fourier coefficients on even special orthogonal and symplectic groups and Petersson inner products along with the critical value of $L$-functions up to const
Externí odkaz:
http://arxiv.org/abs/2407.13599
Autor:
Mansha, Adeel1,2,3 (AUTHOR), Li, Tianjun4,5 (AUTHOR), Sabir, Mudassar6 (AUTHOR) mudassar.sabir@live.com, Wu, Lina7 (AUTHOR)
Publikováno v:
European Physical Journal C -- Particles & Fields. Feb2024, Vol. 84 Issue 2, p1-17. 17p.
Let $F$ be a non-Archimedean local field with odd characteristic $p$. Let $N$ be a positive integer and $G=Sp_{2N}(F)$. By work of Lomel\'i on $\gamma$-factors of pairs and converse theorems, a generic supercuspidal representation $\pi$ of $G$ has a
Externí odkaz:
http://arxiv.org/abs/2406.15767
Autor:
Dagar, Prem, Verma, Mahendra Kumar
Let $\F$ be a non-Archimedean local field.~Consider $\G_{n}:= \Sp_{2n}(\F)$ and let $\M:= \GL_l \times \G_{n-l}$ be a maximal Levi subgroup of $\G_{n}$.~This paper undertakes the computation of the Jacquet module of representations of $\G_{n}$ with r
Externí odkaz:
http://arxiv.org/abs/2405.06450
Autor:
Pazzis, Clément de Seguins
Let $s$ be an $n$-dimensional symplectic form over a field $\mathbb{F}$ of characteristic other than $2$, with $n>2$. In a previous article, we have proved that if $\mathbb{F}$ is infinite then every element of the symplectic group $\mathrm{Sp}(s)$ i
Externí odkaz:
http://arxiv.org/abs/2405.02663